Buckling Analysis Of Stiffened Plates With Differential Quadrature Element Method

The differential quadrature method (DQM) and the differential quadrature element method (DQEM) are numerical methods developed recently and are still under developing. DQM is equivalent to a special kind of mixed collocation method. Based on the differential quadrature method, the sub-domain and integrated techniques, the differential quadrature element method was established. The buckling of plates and stiffened plates are concerned by lots of engineers. It is the first trial to employ the DQEM for analyzing the stability problem of stiffened plates to extend its application ranges. Firstly, the basic theories of DQM and DQEM are introduced in this thesis. Then the new method to obtain the weight coefficients is used to derive the DQ beam element and DQ plate element. The detailed analysis procedures are given. Buckling of isotropic plate, isotropic variable thinckness plates, isotropic stiffened plates, orthotropic plate, orthotropic stiffened plates are analyzed by using the DQEM. The buckling loads and buckling modes are obtained. The DQEM results of buckling loads are compared with existing theoretical results and numerical data, thus, the established DQEM analysis procedures and DQEM results are verified. Numerical results indicate that DQEM is a simple method to understand with advantages of good convergence rate, low time consuming, and high accuracy.